Hello students we are sorry to write this artical because of my PGT exam was held on 9th of may . Now we are active again for you today we are providing you chapter wise Class 10 Maths Real Numbers Important MCQ Questions with Solutions .
1. The exponent of in the prime factorisation of 3750 is ;
a. 3
b. 4
c. 5
d. 6
Answer – 4
2. If a and b are two co – prime number then a3 and b3 are :
a. co -prime
b. not co- prime
c. even
d. odd
Answer – co – prime
3. HCF of two number is 23 and their LCM is 1499. If one of the number is 161, then the other number is :
a. 207
b. 307
c. 1449
d. None of these
Answer – 207
4. 7 x 11 x 17 + 17 is :
b. a composite number
a. a prime number
c. an odd number
d. divisible by 5
Answer- a composite number
5. If two positive integer a and b are written as a= x3 Y2 and b = xy2 , Where x, y are prime numbers, then the result obtained by dividing the product of the position integers by the LCM (a,b) is:
a. xy
b. xy2
c. x3 y3
d. x2 y2
Answer- xy2
6. Let a and b two positive integers such that a=p3 q4 and b= p2 q3, Where p and q are prime numbers. If HCF (a,b) = pm qn and LCM (a,b) = pr qs, then (m + n) (r + s)=
a. 15
b. 30
c. 35
d. 72
Answer- 35
7. What is the greatest possible speed at which a girl can walk 95m and 171m in an exact number of minutes?
a. 17m/min
b. 19 m/min
c. 23 m/min
d. 13 m/min
Answer- 19 m/min
8. If n is a natural number, then 2(5n + 6n) always ends with:
a. 1
b. 4
c. 3
d. 2
Answer- 2
9. The ratio of HCF to LCM of the least composite number and the least prime number is:
a. 1 : 2
b. 2 : 1
c. 1 : 1
d. 1 : 3
Answer- 1 :2
10. If LCM (x, 18) = 36 and HCF (x, 18) = 2, then x is:
a. 2
b. 3
c.4
d. 5
Answer- 4
11. If the LCM of 12 and 42 is 10m + 4, then the value of m is:
a. 50
b. 8
c. 1/5
d. 1
Answer- 8
12. The LCM and HCF of two non-zero positive numbers are equal, then the number must be:
a. prime
b. co-prime
c. composite
d. equal
Answer- equal
13. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is:
a. 10
b. 100
c. 504
d. 2520
Answer- 2520
14. If ‘p’ and ‘q’ are natural numbers and ‘p’ is the multiple of ‘q’ , then what is the HCF of ‘p’ and ‘q’ ?
a. pq
b. p
c. q
d. p + q
Answer- q
15. The least number which when divided by 18,24,30 and 42 will leave in each case the same remainder 1, would be:
a. 2520
b. 2519
c. 2521
d. None of these
Answer- 2521

